Independence of the Conditions in Theorem 11.1 Show that the conditions in Theorem 11.1 are independent. That is, exhibit a social welfare function that is Pareto efficient and does not satisfy IIA or...

Independence of the Conditions in Theorem 11.1

Show that the conditions in Theorem 11.1 are independent. That is, exhibit a social welfare function that is Pareto efficient and does not satisfy IIA or dictatoriality, and one that satisfies IIA and is not dicatorial nor Pareto efficient.